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Finding the Fourth Proportional to 418.24, 576.56 and 368.69

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Solution

The fourth proportional to 418.24, 576.56 and 368.69 is: 508.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.24 : 576.56 = 368.69 : x
  2. Step 2: Convert to fraction form
    418.24/576.56 = 368.69/x
  3. Step 3: Cross multiply
    418.24x = 576.56 × 368.69
  4. Step 4: Simplify right side
    418.24x = 212,571.46
  5. Step 5: Solve for x
    x = 212,571.46/418.24
  6. Step 6: Final answer
    x = 508.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.